Question

The third-place finisher of the Allen County hot dog eating contest, in which each contestant was given an equal amount of time to eat as many hot dogs as possible, required an average of 15 seconds to consume each hot dog. How many hot dogs did the winner eat?

Answer 1

Answer:

48

Explanation:

Lets assume that the third runner up eats x hot dogs.

The total time for the contest is 15x seconds.

Given is that the winner ate (x+24) hot dogs

The winner's rate of eating is 1 hot dog per 7.5 seconds.  

And we know the rate = total time/number of hot dog eaten

We get;

$\frac{15}{x+24} = 7.5$

solving we get x= 24

therefore the winner ate 24+24= 48